A dictionary of Proverbs (Oxford Paperback Reference)

A DOG that will fetch a bone will carry a bone
A gossip carries talk both ways.

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  1830 R. FORBY Vocabulary of East Anglia 429 ‘The dog that fetches will carry.’— i.e. A talebearer will tell tales of you, as well as to you. 1941 L. I. WILDER Little Town on Prairie XV. So Nellie twisted what you said and told it to Miss Wilder. .. ‘A dog that will fetch a bone, will carry a bone.’ 1959 E. SCHIDDEL Devil in Bucks County II. iii. All this gossip reminded Shirley.. of the saw The dog who brings a bone also will carry one away. "slander
  

dog see also a BARKING dog never bites; BRAG is a good dog, but Holdfast is better; the CAT, the rat, and Lovell the dog, rule all England under the hog; he is a GOOD dog who goes to church; why KEEP a dog and bark yourself?; if you are not the LEAD dog, the view never changes; if you LIE down with dogs, you will get up with fleas; a LIVE dog is better than a dead lion; LOVE me, love my dog; it is a POOR dog that’s not worth whistling for; let SLEEPING dogs lie; it is easy to find a STICK to beat a dog; you can’t TEACH an old dog new tricks; THREE things are not to be trusted; while TWO dogs are fighting for a bone, a third runs away with it; there are more WAYS of killing a dog than choking it with butter; there are more WAYS of killing a dog than hanging it; do not call a WOLF to help you against the dogs; a WOMAN, a dog, and a walnut tree, the more you beat them the better they be.
It’s DOGGED as does it
Similar in form to the expression EASY does it.

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  1864 M. B. CHESNUT Diary 6 Aug. (1949) 429 ‘It’s dogged as does it,’ says Isabella. 1867 TROLLOPE Last Chronicle of Barset lxi. There ain’t nowt a man can’t bear if he’ll only be dogged. .. It’s dogged as does it. It’s not thinking about it. 1916 J. BUCHAN Greenmantle i. We’ve got the measure of the old Boche now, and it’s dogged a s does it. 1965 K. GILES Some Beasts no More v. It was Colonel Rodgers. ‘Any progress?’.. ‘Very little, it’s dogged as does it, sir.’ "perseverance